10010110100101 has 2 divisors, whose sum is σ = 10010110100102. Its totient is φ = 10010110100100.

The previous prime is 10010110100083. The next prime is 10010110100131. The reversal of 10010110100101 is 10100101101001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8781561756900 + 1228548343201 = 2963370^2 + 1108399^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010110100101 - 2²¹ = 10010108002949 is a prime.

It is a super-2 number, since 2×10010110100101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010110100131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005055050050 + 5005055050051.

It is an arithmetic number, because the mean of its divisors is an integer number (5005055050051).

Almost surely, 2^{10010110100101} is an apocalyptic number.

It is an amenable number.

10010110100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010110100101 is an equidigital number, since it uses as much as digits as its factorization.

10010110100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10010110100101 its reverse (10100101101001), we get a palindrome (20110211201102).

The spelling of 10010110100101 in words is "ten trillion, ten billion, one hundred ten million, one hundred thousand, one hundred one".